2D Seiberg-like dualities with an adjoint matter - INSPIRE

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2D Seiberg-like dualities with an adjoint matter

Kyoungho Cho
(
- Sogang U.
)
,
Hyungchul Kim
(
- Harvard U., Dept. Math. and
- Harvard U., Phys. Dept.
)
,
Jaemo Park
(
- POSTECH
)

Feb 1, 2017

23 pages

Published in:

JHEP 10 (2017) 035

Published: Oct 5, 2017

e-Print:

1702.00235 [hep-th]

DOI:

10.1007/JHEP10(2017)035

View in:

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Abstract: (Springer)

We consider the analogue of Kutasov-Schwimmer-Seiberg duality for two-dimensional

\mathcal{N}=\left(2,2\right)U(k)

gauge theory with one adjoint X with the superpotential Tr X^{l}^{+1} and with fundamental and anti-fundamental chiral multiplets. We give the evidences for the proposed dualities by analytically proving that the elliptic genus of dual pair coincides with each other. For some of the dual pairs flowing to the superconformal field theory, we show the nonperturbative truncation of the chiral ring. For the theory with one adjoint and N

_{f}

> k fundamental fields, we argue the theory exhibits mass gap.

Note:

31 pages; references added and typos corrected, contents expanded

Field Theories in Lower Dimensions
Supersymmetric Gauge Theory
Supersymmetry and Duality
field theory: conformal
multiplet: chiral
mass: gap
dimension: 2
S-duality
gauge field theory: U(N)
nonperturbative

References(32)

Figures(0)

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